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Finding the Fourth Proportional to 102,572.52, 153,858.09 and 55,209.93

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Solution

The fourth proportional to 102,572.52, 153,858.09 and 55,209.93 is: 82,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,572.52 : 153,858.09 = 55,209.93 : x
  2. Step 2: Convert to fraction form
    102,572.52/153,858.09 = 55,209.93/x
  3. Step 3: Cross multiply
    102,572.52x = 153,858.09 × 55,209.93
  4. Step 4: Simplify right side
    102,572.52x = 8,494,494,378.83
  5. Step 5: Solve for x
    x = 8,494,494,378.83/102,572.52
  6. Step 6: Final answer
    x = 82,814.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.